list the computational complexity of various algorithms for common mathematical operations. Here, complexity refers to the time complexity of performing...

computational complexity or simply complexity of an algorithm is the amount of resources required to run it. Particular focus is given to computation...

introducing mathematical models of computation to study these problems and quantifying their computational complexity, i.e., the amount of resources needed...

theoretical computer science, the computational complexity of matrix multiplication dictates how quickly the operation of matrix multiplication can be performed...

Computational mathematics is the study of the interaction between mathematics and calculations done by a computer. A large part of computational mathematics...

computability theory and computational complexity theory, a model of computation is a model which describes how an output of a mathematical function is computed...

the time complexity is the computational complexity that describes the amount of computer time it takes to run an algorithm. Time complexity is commonly...

Papadimitriou (1993), Computational Complexity (1st ed.), Addison Wesley, ISBN 978-0-201-53082-7 Chapter 11: Randomized computation, pp. 241–278. Rabin...

mathematicians and computational theorists who study recursion theory will refer to it as computability theory. Computational complexity theory considers...

In computational complexity theory, a complexity class is a set of computational problems "of related resource-based complexity". The two most commonly...

conventional multiplication. Computational complexity of mathematical operations Gauss–Jordan elimination Computational complexity of matrix multiplication Z-order...

topology, or computational topology, is a subfield of topology with an overlap with areas of computer science, in particular, computational geometry and...

division algorithm. For a list of algorithms along with complexity estimates, see computational complexity of mathematical operations. For examples in x86 assembly...

measure of the computational resources needed to specify the object, and is also known as algorithmic complexity, Solomonoff–Kolmogorov–Chaitin complexity, program-size...

science is a subfield of computer science and mathematics that focuses on the abstract and mathematical foundations of computation. It is difficult to circumscribe...

effective descriptive set theory. Computational algebraic geometry Computational complexity theory a branch of mathematics and theoretical computer science...

domain of convergence of integral transforms can be stated Order of approximation Order of accuracy Computational complexity of mathematical operations Bachmann...

factors of n. An example of a computational problem without a solution is the Halting problem. Computational problems are one of the main objects of study...

Mathematical optimization (alternatively spelled optimisation) or mathematical programming is the selection of a best element, with regard to some criteria...

Computational physics is the study and implementation of numerical analysis to solve problems in physics. Historically, computational physics was the...

In computational complexity theory, the complement of a decision problem is the decision problem resulting from reversing the yes and no answers. Equivalently...

mathematical software. Musimathics website, freeware download Internet Accessible Mathematical Computation, Institute for Computational Mathematics,...

In computational complexity theory and circuit complexity, a Boolean circuit is a mathematical model for combinational digital logic circuits. A formal...

Computational sociology is a branch of sociology that uses computationally intensive methods to analyze and model social phenomena. Using computer simulations...

aspects of basic and advanced mathematics, methodology, mathematical statements, integrals, general concepts, mathematical objects, and reference tables...

greater) operations, even for the simple case of power of two sizes, although no algorithms with lower complexity are known. In particular, the count of arithmetic...

{O}}(\log n)} using the DNS algorithm. Computational complexity of mathematical operations Computational complexity of matrix multiplication CYK algorithm...

(2013). "Mathematical structures". Logical foundations of mathematics and computational complexity a gentle introduction. Cham: Springer. pp. 2–24. ISBN 9783319001197...

Complexity and Real Computation is a book on the computational complexity theory of real computation. It studies algorithms whose inputs and outputs are...

Computational economics is an interdisciplinary research discipline that combines methods in computational science and economics to solve complex economic...